ON THE EXISTENCE OF PARTITIONS OF UNITY FOR PROXIMITY SPACES

Print ISSN: 0972-7752

Abstract

In the present paper it has been shown that if (X, δ) is a separated proximity space with a finite open covering u, then there exists a partition of unity dominated by u.

Keywords and Phrases

Proximity spacs, finite covering, partition of unity, Urysohn lemma, shrinking lemma.

A.M.S. subject classification

54A05, 54E05.

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